An inner bound of capacity region for the Gaussian interference channel

Xiaohu Shang; Biao Chen

doi:10.1109/WCNC.2007.384

An inner bound of capacity region for the Gaussian interference channel

Xiaohu Shang, Biao Chen

Department of Electrical Engineering & Computer Science

Research output: Chapter in Book/Entry/Poem › Conference contribution

1 Scopus citations

Abstract

An inner bound of capacity region for the Gaussian interference channel is derived using Sato's modified frequency division multiplexing idea [1] and a special case of Han and Kobayashi's rate region (denoted by G′ in [2]). We show that the new inner bound includes G′, Sason's rate region D [3], as well as the achievable region via TDM/FDM [4], as its subsets. The advantage of this improved inner bound over G′ arises due to its inherent ability to utilize the whole transmit power range on the real line without violating the power constraint. We also provide analysis to show that the new achievable region strictly extends G′ if max _{(R1, R2)∈G′} {R ₁ + kR ₂} is nonconcave for some k ∈ [0, +∞), where R ₁ and B ₂ are the rates of the two users.

Original language	English (US)
Title of host publication	2007 IEEE Wireless Communications and Networking Conference, WCNC 2007
Pages	2050-2054
Number of pages	5
DOIs	https://doi.org/10.1109/WCNC.2007.384
State	Published - 2007
Event	2007 IEEE Wireless Communications and Networking Conference, WCNC 2007 - Kowloon, China Duration: Mar 11 2007 → Mar 15 2007

Publication series

Name	IEEE Wireless Communications and Networking Conference, WCNC
ISSN (Print)	1525-3511

Other

Other	2007 IEEE Wireless Communications and Networking Conference, WCNC 2007
Country/Territory	China
City	Kowloon
Period	3/11/07 → 3/15/07

Keywords

Gaussian interterence channel
Inner bound
Sum capacity

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/WCNC.2007.384

Cite this

Shang, X & Chen, B 2007, An inner bound of capacity region for the Gaussian interference channel. in 2007 IEEE Wireless Communications and Networking Conference, WCNC 2007., 4204560, IEEE Wireless Communications and Networking Conference, WCNC, pp. 2050-2054, 2007 IEEE Wireless Communications and Networking Conference, WCNC 2007, Kowloon, China, 3/11/07. https://doi.org/10.1109/WCNC.2007.384

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AB - An inner bound of capacity region for the Gaussian interference channel is derived using Sato's modified frequency division multiplexing idea [1] and a special case of Han and Kobayashi's rate region (denoted by G′ in [2]). We show that the new inner bound includes G′, Sason's rate region D [3], as well as the achievable region via TDM/FDM [4], as its subsets. The advantage of this improved inner bound over G′ arises due to its inherent ability to utilize the whole transmit power range on the real line without violating the power constraint. We also provide analysis to show that the new achievable region strictly extends G′ if max (R1, R2)∈G′ {R 1 + kR 2} is nonconcave for some k ∈ [0, +∞), where R 1 and B 2 are the rates of the two users.

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An inner bound of capacity region for the Gaussian interference channel

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Keywords

ASJC Scopus subject areas

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